Finite Group Databasebeta

← D59×#2424 #28756151

Subgroups — D59×#2424 #28756151

Order 15104.

5898 conjugacy classes of subgroups.

The subgroup lattice has 2356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D59C211yesmaximal, characteristic, complemented
2C2×#121×D59C211yesmaximal, characteristic, complemented
3C2×#120×D59C211yesmaximal, characteristic, complemented
4C2×#120×D59C211yesmaximal, characteristic, complemented
5C2×C4×D4×D59C211yesmaximal, characteristic, complemented
6C22×C22⋊C4×D59C211yesmaximal, characteristic, complemented
7#21427639C211yesmaximal, characteristic, complemented
8#21427638C211yesmaximal, characteristic, complemented
9#21427637C211yesmaximal, characteristic, complemented
10#21427636C211yesmaximal, characteristic, complemented
11#21427635C211yesmaximal, characteristic, complemented
12#21427634C211yesmaximal, characteristic, complemented
13#21427633C211yesmaximal, characteristic, complemented
14#21427632C211yesmaximal, characteristic, complemented
15#21427631C211yesmaximal, characteristic, complemented
16#21427630C211yesmaximal, characteristic, complemented
17#21427629C211yesmaximal, characteristic, complemented
18#21427628C211yesmaximal, characteristic, complemented
19#21427627C211yesmaximal, characteristic, complemented
20#21427626C211yesmaximal, characteristic, complemented
21#21427625C211yesmaximal, characteristic, complemented
22#396×D59C211yesmaximal, characteristic, complemented
23#394×D59C211yesmaximal, characteristic, complemented
24#394×D59C211yesmaximal, characteristic, complemented
25#392×D59C211yesmaximal, characteristic, complemented
26#390×D59C211yesmaximal, characteristic, complemented
27#388×D59C211yesmaximal, characteristic, complemented
28#386×D59C211yesmaximal, characteristic, complemented
29#386×D59C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2424C211yesmaximal, characteristic, complemented
32C25×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C22×D4×D59C2211yescharacteristic
36C22×D4×D59C2211yescharacteristic
37C22×D4×D59C2211yescharacteristic
38C22×D4×D59C2211yescharacteristic
39C22×D4×D59C2211yescharacteristic, complemented
40C23×C4×D59C2211yescharacteristic
41C23×C4×D59C2211yescharacteristic
42C23×C4×D59C2211yescharacteristic, complemented
43C2×#14273702C2211yescharacteristic, complemented
44C2×#14273702C2211yescharacteristic, complemented
45C2×#14273701C2211yescharacteristic, complemented
46C2×#14273701C2211yescharacteristic, complemented
47C2×#14273700C2211yescharacteristic, complemented
48C2×#14273700C2211yescharacteristic, complemented
49C2×#14273700C2211yescharacteristic, complemented
50C2×#14273700C2211yescharacteristic, complemented
51C2×#14273699C2211yescharacteristic, complemented
52C2×#14273699C2211yescharacteristic, complemented
53C2×#14273699C2211yescharacteristic, complemented
54C2×#14273699C2211yescharacteristic, complemented
55C2×#14273698C2211yescharacteristic, complemented
56C2×#14273698C2211yescharacteristic, complemented
57#121×D59—28no—
58#121×D59—28no—
59C2×#14273697C2211yescharacteristic, complemented
60C2×#14273697C2211yescharacteristic, complemented
61C2×#14273697C2211yescharacteristic, complemented
62C2×#14273697C2211yescharacteristic, complemented
63C2×#14273697C2211yescharacteristic, complemented
64C2×#14273697C2211yescharacteristic, complemented
65C2×#14273696C2211yescharacteristic, complemented
66C2×#14273696C2211yescharacteristic, complemented
67C2×#14273695C2211yescharacteristic, complemented
68C2×#14273695C2211yescharacteristic, complemented
69C2×#14273695C2211yescharacteristic, complemented
70C2×#14273695C2211yescharacteristic, complemented
71C2×#14273695C2211yescharacteristic, complemented
72C2×#14273695C2211yescharacteristic, complemented
73#120×D59—28no—
74#120×D59—28no—
75C2×C4×D236C2211yescharacteristic, complemented
76C2×D4×Dic59C2211yescharacteristic, complemented
77C2×#14273689C2211yescharacteristic, complemented
78C2×C4×C22⋊D59C2211yescharacteristic, complemented
79C2×C4×C22⋊D59C2211yescharacteristic, complemented
80C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
81C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
82C4×D4×D59—28no—
83C2×C4⋊C4×D59C2211yescharacteristic, complemented
84C2×C4⋊C4×D59C2211yescharacteristic, complemented
85C2×C4⋊C4×D59C2211yescharacteristic, complemented
86C2×C4⋊C4×D59C2211yescharacteristic, complemented
87C22×C22⋊Dic59C2211yescharacteristic, complemented
88C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
89C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
90C2×C22⋊C4×D59—28no—
91C2×C22⋊C4×D59C2211yescharacteristic
92C2×C22⋊C4×D59C2211yescharacteristic
93C2×C22⋊C4×D59C2211yescharacteristic
94C2×C22⋊C4×D59C2211yescharacteristic
95C2×C22⋊C4×D59C2211yescharacteristic
96C2×C22⋊C4×D59C2211yescharacteristic
97C2×C22⋊C4×D59C2211yescharacteristic
98C2×C22⋊C4×D59C2211yescharacteristic
99C2×C22⋊C4×D59C2211yescharacteristic
100C2×C22⋊C4×D59C2211yescharacteristic
101C2×C22⋊C4×D59C2211yescharacteristic, complemented
102C2×C22⋊C4×D59C2211yescharacteristic, complemented
103C2×C22⋊C4×D59C2211yescharacteristic, complemented
104C2×C22⋊C4×D59C2211yescharacteristic, complemented
105C2×C22⋊C4×D59C2211yescharacteristic, complemented
106C2×C22⋊C4×D59C2211yescharacteristic, complemented
107C2×C22⋊C4×D59C2211yescharacteristic, complemented
108C2×C22⋊C4×D59C2211yescharacteristic, complemented
109C2×C22⋊C4×D59C2211yescharacteristic, complemented
110C2×C42×D59C2211yescharacteristic, complemented
111#16837326C2211yescharacteristic, complemented
112#16837325C2211yescharacteristic, complemented
113#16837325C2211yescharacteristic, complemented
114#16837325C2211yescharacteristic, complemented
115#16837324C2211yescharacteristic, complemented
116#16837324C2211yescharacteristic, complemented
117#16837324C2211yescharacteristic, complemented
118#16837320C2211yescharacteristic, complemented
119#16837320C2211yescharacteristic, complemented
120#16837319C2211yescharacteristic, complemented
121#16837319C2211yescharacteristic, complemented
122#16837318C2211yescharacteristic, complemented
123#16837318C2211yescharacteristic, complemented
124#16837318C2211yescharacteristic, complemented
125#16837318C2211yescharacteristic, complemented
126#16837317C2211yescharacteristic, complemented
127#16837317C2211yescharacteristic, complemented
128#16837317C2211yescharacteristic, complemented
129#16837317C2211yescharacteristic, complemented
130#16837316C2211yescharacteristic, complemented
131#16837316C2211yescharacteristic, complemented
132#16837312C2211yescharacteristic, complemented
133#16837311C2211yescharacteristic, complemented
134#16837311C2211yescharacteristic, complemented
135#16837311C2211yescharacteristic, complemented
136#16837310C2211yescharacteristic, complemented
137#16837310C2211yescharacteristic, complemented
138#16837310C2211yescharacteristic, complemented
139#16837305C2211yescharacteristic, complemented
140#16837304C2211yescharacteristic, complemented
141#16837303C2211yescharacteristic, complemented
142#16837302C2211yescharacteristic, complemented
143#16837302C2211yescharacteristic, complemented
144#16837302C2211yescharacteristic, complemented
145#16837302C2211yescharacteristic, complemented
146#16837296C2211yescharacteristic, complemented
147#16837295C2211yescharacteristic, complemented
148#16837294C2211yescharacteristic, complemented
149#16837293C2211yescharacteristic, complemented
150#16837292C2211yescharacteristic, complemented
151#16837291C2211yescharacteristic, complemented
152#16837290C2211yescharacteristic, complemented
153#16837282C2211yescharacteristic, complemented
154#16837282C2211yescharacteristic, complemented
155#16837281C2211yescharacteristic, complemented
156#16837281C2211yescharacteristic, complemented
157#16837280C2211yescharacteristic, complemented
158#16837280C2211yescharacteristic, complemented
159#16837280C2211yescharacteristic, complemented
160#16837280C2211yescharacteristic, complemented
161#16837279C2211yescharacteristic, complemented
162#16837279C2211yescharacteristic, complemented
163#16837278C2211yescharacteristic, complemented
164#16837278C2211yescharacteristic, complemented
165#16837278C2211yescharacteristic, complemented
166#16837278C2211yescharacteristic, complemented
167#16837277C2211yescharacteristic, complemented
168#16837276C2211yescharacteristic, complemented
169#16837276C2211yescharacteristic, complemented
170#16837275C2211yescharacteristic, complemented
171#16837274C2211yescharacteristic, complemented
172#16837273C2211yescharacteristic, complemented
173#16837273C2211yescharacteristic, complemented
174#95×D59C2211yescharacteristic, complemented
175#95×D59C2211yescharacteristic, complemented
176#95×D59C2211yescharacteristic, complemented
177#95×D59C2211yescharacteristic, complemented
178C2×#121×C59C2211yescharacteristic, complemented
179C2×#121×C59C2211yescharacteristic, complemented
180C2×#120×C59C2211yescharacteristic, complemented
181C2×#120×C59C2211yescharacteristic, complemented
182C2×C4×D4×C59C2211yescharacteristic, complemented
183C22×C22⋊C4×C59C2211yescharacteristic, complemented
184C59×#396C2211yescharacteristic, complemented
185C59×#394C2211yescharacteristic, complemented
186C59×#394C2211yescharacteristic, complemented
187C59×#392C2211yescharacteristic, complemented
188C59×#390C2211yescharacteristic, complemented
189C59×#388C2211yescharacteristic, complemented
190C59×#386C2211yescharacteristic, complemented
191C59×#386C2211yescharacteristic, complemented
192C59×#385C2211yescharacteristic, complemented
193C24×D59—24no—
194C24×D59—24no—
195C24×D59—24no—
196C24×D59—24no—
197C24×D59—24no—
198C24×D59—42no—
199C24×D59—42no—
200C24×D59C2311yescharacteristic
201C24×D59C2311yescharacteristic
202C24×D59C2311yescharacteristic
203C24×D59C2311yescharacteristic
204C24×D59C2311yescharacteristic
205C24×D59C2311yescharacteristic
206C24×D59C2311yescharacteristic
207C24×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C22×D236C2311yescharacteristic, complemented
215C22×C22⋊D59C2311yescharacteristic
216C22×C22⋊D59C2311yescharacteristic
217C22×C22⋊D59C2311yescharacteristic
218C22×C22⋊D59C2311yescharacteristic
219C22×C22⋊D59C2311yescharacteristic
220C22×C22⋊D59C2311yescharacteristic
221C22×C22⋊D59C2311yescharacteristic
222C22×C22⋊D59C2311yescharacteristic
223C22×C22⋊D59C2311yescharacteristic
224C22×C22⋊D59C2311yescharacteristic
225C22×C22⋊D59C2311yescharacteristic
226C22×C22⋊D59C2311yescharacteristic
227C22×C22⋊D59C2311yescharacteristic, complemented
228C22×C22⋊D59C2311yescharacteristic, complemented
229C2×D4×D59—24no—
230C2×D4×D59—24no—
231C2×D4×D59—24no—
232C2×D4×D59—24no—
233C2×D4×D59—24no—
234C2×D4×D59—24no—
235C2×D4×D59—24no—
236C2×D4×D59—24no—
237C2×D4×D59—24no—
238C2×D4×D59—24no—
239C2×D4×D59—24no—
240C2×D4×D59—24no—
241C2×D4×D59—24no—
242C2×D4×D59—24no—
243C2×D4×D59—24no—
244C2×D4×D59—42no—
245C2×D4×D59—42no—
246C2×D4×D59—42no—
247C2×D4×D59—42no—
248C2×D4×D59—42no—
249C2×D4×D59D418yescomplemented
250C23×Dic59C2311yescharacteristic
251C23×Dic59C2311yescharacteristic
252C23×Dic59C2311yescharacteristic, complemented
253C22×C4×D59—24no—
254C22×C4×D59—24no—
255C22×C4×D59—24no—
256C22×C4×D59—24no—
257C22×C4×D59—24no—
258C22×C4×D59—24no—
259C22×C4×D59—42no—
260C22×C4×D59—42no—
261C22×C4×D59—42no—
262C22×C4×D59C2311yescharacteristic
263C22×C4×D59C2311yescharacteristic
264C22×C4×D59C2311yescharacteristic
265C22×C4×D59C2311yescharacteristic
266C22×C4×D59C2311yescharacteristic
267C22×C4×D59C2311yescharacteristic
268C22×C4×D59C2311yescharacteristic
269C22×C4×D59C2311yescharacteristic
270C22×C4×D59C2311yescharacteristic
271C22×C4×D59C2311yescharacteristic
272C22×C4×D59C2311yescharacteristic
273C22×C4×D59C2311yescharacteristic
274C22×C4×D59C2311yescharacteristic
275C22×C4×D59C2311yescharacteristic
276C22×C4×D59C2311yescharacteristic, complemented
277C22×C4×D59C2311yescharacteristic, complemented
278#14273702—24no—
279#14273702—24no—
280#14273701—24no—
281#14273701—24no—
282#14273700—24no—
283#14273700—24no—
284#14273700—24no—
285#14273700—24no—
286#14273699—24no—
287#14273699—24no—
288#14273699—24no—
289#14273699—24no—
290#14273698—24no—
291#14273698—24no—
292#14273697—24no—
293#14273697—24no—
294#14273697—24no—
295#14273697—24no—
296#14273697—24no—
297#14273697—24no—
298#14273696—24no—
299#14273696—24no—
300#14273695—24no—
301#14273695—24no—
302#14273695—24no—
303#14273695—24no—
304#14273695—24no—
305#14273695—24no—
306C4×D236—24no—
307D4×Dic59—24no—
308#14273689—24no—
309C4×C22⋊D59—24no—
310C4×C22⋊D59—24no—
311(C22⋊D59)⋊C4—24no—
312(C22⋊D59)⋊C4—24no—
313C2×C4⋊Dic59C2311yescharacteristic, complemented
314C2×C4⋊Dic59C2311yescharacteristic, complemented
315C2×C4⋊Dic59C2311yescharacteristic, complemented
316C2×C4⋊Dic59C2311yescharacteristic, complemented
317C2×Dic59⋊C4C2311yescharacteristic, complemented
318C2×Dic59⋊C4C2311yescharacteristic, complemented
319C2×Dic59⋊C4C2311yescharacteristic, complemented
320C2×Dic59⋊C4C2311yescharacteristic, complemented
321C2×Dic59⋊C4C2311yescharacteristic, complemented
322C2×Dic59⋊C4C2311yescharacteristic, complemented
323C2×Dic59⋊C4C2311yescharacteristic, complemented
324C2×Dic59⋊C4C2311yescharacteristic, complemented
325C4⋊C4×D59—24no—
326C4⋊C4×D59—24no—
327C4⋊C4×D59—24no—
328C4⋊C4×D59—42no—
329C2×C22⋊Dic59—24no—
330C2×C22⋊Dic59C2311yescharacteristic
331C2×C22⋊Dic59C2311yescharacteristic
332C2×C22⋊Dic59C2311yescharacteristic
333C2×C22⋊Dic59C2311yescharacteristic
334C2×C22⋊Dic59C2311yescharacteristic
335C2×C22⋊Dic59C2311yescharacteristic
336C2×C22⋊Dic59C2311yescharacteristic
337C2×C22⋊Dic59C2311yescharacteristic
338C2×C22⋊Dic59C2311yescharacteristic
339C2×C22⋊Dic59C2311yescharacteristic
340C2×C22⋊Dic59C2311yescharacteristic, complemented
341C2×C22⋊Dic59C2311yescharacteristic, complemented
342C2×C22⋊Dic59C2311yescharacteristic, complemented
343C2×C22⋊Dic59C2311yescharacteristic, complemented
344C2×C22⋊Dic59C2311yescharacteristic, complemented
345C2×(C2×D59)⋊C4—24no—
346C2×(C2×D59)⋊C4—24no—
347C2×(C2×D59)⋊C4C2311yescharacteristic
348C2×(C2×D59)⋊C4C2311yescharacteristic
349C2×(C2×D59)⋊C4C2311yescharacteristic
350C2×(C2×D59)⋊C4C2311yescharacteristic
351C2×(C2×D59)⋊C4C2311yescharacteristic
352C2×(C2×D59)⋊C4C2311yescharacteristic
353C2×(C2×D59)⋊C4C2311yescharacteristic
354C2×(C2×D59)⋊C4C2311yescharacteristic
355C2×(C2×D59)⋊C4C2311yescharacteristic
356C2×(C2×D59)⋊C4C2311yescharacteristic
357C2×(C2×D59)⋊C4C2311yescharacteristic
358C2×(C2×D59)⋊C4C2311yescharacteristic
359C2×(C2×D59)⋊C4C2311yescharacteristic
360C2×(C2×D59)⋊C4C2311yescharacteristic
361C2×(C2×D59)⋊C4C2311yescharacteristic
362C2×(C2×D59)⋊C4C2311yescharacteristic
363C2×(C2×D59)⋊C4C2311yescharacteristic
364C2×(C2×D59)⋊C4C2311yescharacteristic
365C2×(C2×D59)⋊C4C2311yescharacteristic
366C2×(C2×D59)⋊C4C2311yescharacteristic
367C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
368C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
369C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
370C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
371C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
372C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
373C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
374C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
375C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
376C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
377C22⋊C4×D59—24no—
378C22⋊C4×D59—24no—
379C22⋊C4×D59—24no—
380C22⋊C4×D59—24no—
381C22⋊C4×D59—24no—
382C22⋊C4×D59—24no—
383C22⋊C4×D59—24no—
384C22⋊C4×D59—24no—
385C22⋊C4×D59—24no—
386C22⋊C4×D59—24no—
387C22⋊C4×D59—24no—
388C22⋊C4×D59—24no—
389C22⋊C4×D59—24no—
390C22⋊C4×D59—24no—
391C22⋊C4×D59—24no—
392C22⋊C4×D59—24no—
393C22⋊C4×D59—42no—
394C22⋊C4×D59D418yescomplemented
395C22⋊C4×D59D418yescomplemented
396C2×C4×Dic59C2311yescharacteristic, complemented
397C2×C4×Dic59C2311yescharacteristic, complemented
398C2×C4×Dic59C2311yescharacteristic, complemented
399C42×D59—24no—
400C59⋊#95C2311yescharacteristic, complemented
401C59⋊#95C2311yescharacteristic, complemented
402C59⋊#95C2311yescharacteristic, complemented
403C59⋊#95C2311yescharacteristic, complemented
404C59⋊#95C2311yescharacteristic, complemented
405C59⋊#95C2311yescharacteristic, complemented
406C59⋊#95C2311yescharacteristic, complemented
407C59⋊#95C2311yescharacteristic, complemented
408C59⋊#95C2311yescharacteristic, complemented
409C59⋊#95C2311yescharacteristic, complemented
410C59⋊#95C2311yescharacteristic, complemented
411C59⋊#95C2311yescharacteristic, complemented
412C25×C59C2311yescharacteristic
413C22×D4×C59C2311yescharacteristic
414C22×D4×C59C2311yescharacteristic
415C22×D4×C59C2311yescharacteristic
416C22×D4×C59C2311yescharacteristic
417C22×D4×C59C2311yescharacteristic
418C22×D4×C59C2311yescharacteristic
419C22×D4×C59C2311yescharacteristic, complemented
420C23×C4×C59C2311yescharacteristic
421C23×C4×C59C2311yescharacteristic
422C23×C4×C59C2311yescharacteristic, complemented
423#121×C59—24no—
424#121×C59—24no—
425#120×C59—24no—
426#120×C59—24no—
427C4×D4×C59—24no—
428C2×C4⋊C4×C59C2311yescharacteristic, complemented
429C2×C4⋊C4×C59C2311yescharacteristic, complemented
430C2×C4⋊C4×C59C2311yescharacteristic, complemented
431C2×C4⋊C4×C59C2311yescharacteristic, complemented
432C2×C22⋊C4×C59—24no—
433C2×C22⋊C4×C59C2311yescharacteristic
434C2×C22⋊C4×C59C2311yescharacteristic
435C2×C22⋊C4×C59C2311yescharacteristic
436C2×C22⋊C4×C59C2311yescharacteristic
437C2×C22⋊C4×C59C2311yescharacteristic
438C2×C22⋊C4×C59C2311yescharacteristic
439C2×C22⋊C4×C59C2311yescharacteristic
440C2×C22⋊C4×C59C2311yescharacteristic
441C2×C22⋊C4×C59C2311yescharacteristic
442C2×C22⋊C4×C59C2311yescharacteristic
443C2×C22⋊C4×C59C2311yescharacteristic, complemented
444C2×C22⋊C4×C59C2311yescharacteristic, complemented
445C2×C22⋊C4×C59C2311yescharacteristic, complemented
446C2×C22⋊C4×C59C2311yescharacteristic, complemented
447C2×C22⋊C4×C59C2311yescharacteristic, complemented
448C2×C42×C59C2311yescharacteristic, complemented
449#95×C59C2311yescharacteristic, complemented
450#95×C59C2311yescharacteristic, complemented
451#95×C59C2311yescharacteristic, complemented
452#95×C59C2311yescharacteristic, complemented
453C24×C59—22no—
454C24×C59—22no—
455C24×C59—22no—
456C24×C59—22no—
457C24×C59—22no—
458C24×C59—41no—
459C24×C59—41no—
460C24×C59C2411yescharacteristic
461C24×C59C2411yescharacteristic
462C24×C59C2411yescharacteristic
463C24×C59C2411yescharacteristic
464C24×C59C2411yescharacteristic
465C23×D59—22no—
466C23×D59—22no—
467C23×D59—22no—
468C23×D59—22no—
469C23×D59—232no—
470C23×D59—22no—
471C23×D59—22no—
472C23×D59—22no—
473C23×D59—22no—
474C23×D59—22no—
475C23×D59—22no—
476C23×D59—22no—
477C23×D59—22no—
478C23×D59—22no—
479C23×D59—22no—
480C23×D59—22no—
481C23×D59—22no—
482C23×D59—22no—
483C23×D59—22no—
484C23×D59—22no—
485C23×D59—22no—
486C23×D59—22no—
487C23×D59—22no—
488C23×D59—22no—
489C23×D59—22no—
490C23×D59—22no—
491C23×D59—22no—
492C23×D59—22no—
493C23×D59—22no—
494C23×D59—22no—
495C23×D59—22no—
496C23×D59—22no—
497C23×D59—22no—
498C23×D59—22no—
499C23×D59—22no—
500C23×D59—22no—
501C23×D59—22no—
502C23×D59—22no—
503C23×D59—22no—
504C23×D59—22no—
505C23×D59—22no—
506C23×D59—22no—
507C23×D59—22no—
508C23×D59—22no—
509C23×D59—22no—
510C23×D59—41no—
511C23×D59—41no—
512C23×D59—41no—
513C23×D59—41no—
514C23×D59—41no—
515C23×D59—41no—
516C23×D59—416no—
517C23×D59—416no—
518C23×D59—416no—
519C23×D59—416no—
520C23×D59—416no—
521C23×D59—416no—
522C23×D59C2×D414yes—
523C23×D59C2×D414yes—
524C23×D59C2×D414yes—
525C23×D59C2×D414yes—
526C23×D59#4114yes—
527C23×D59#4114yes—
528C23×D59C2411yescharacteristic
529C23×D59C2411yescharacteristic
530C23×D59C2411yescharacteristic
531C23×D59C2411yescharacteristic
532C23×D59C2411yescharacteristic
533C23×D59C2411yescharacteristic
534C2×D4×C59—22no—
535C2×D4×C59—22no—
536C2×D4×C59—22no—
537C2×D4×C59—22no—
538C2×D4×C59—22no—
539C2×D4×C59—22no—
540C2×D4×C59—22no—
541C2×D4×C59—22no—
542C2×D4×C59—22no—
543C2×D4×C59—22no—
544C2×D4×C59—22no—
545C2×D4×C59—22no—
546C2×D4×C59—22no—
547C2×D4×C59—22no—
548C2×D4×C59—22no—
549C2×D4×C59—41no—
550C2×D4×C59—41no—
551C2×D4×C59—41no—
552C2×D4×C59—41no—
553C2×D4×C59—41no—
554C2×D4×C59C2×D414yescomplemented
555C22×C4×C59—22no—
556C22×C4×C59—22no—
557C22×C4×C59—22no—
558C22×C4×C59—22no—
559C22×C4×C59—22no—
560C22×C4×C59—22no—
561C22×C4×C59—41no—
562C22×C4×C59—41no—
563C22×C4×C59—41no—
564C22×C4×C59C2411yescharacteristic
565C22×C4×C59C2411yescharacteristic
566C22×C4×C59C2411yescharacteristic
567C22×C4×C59C2411yescharacteristic
568C22×C4×C59C2411yescharacteristic
569C22×C4×C59C2411yescharacteristic
570C22×C4×C59C2411yescharacteristic
571C22×C4×C59C2411yescharacteristic
572C22×C4×C59C2411yescharacteristic
573C22×C4×C59C2411yescharacteristic
574C2×C22⋊D59—22no—
575C2×C22⋊D59—22no—
576C2×C22⋊D59—22no—
577C2×C22⋊D59—22no—
578C2×C22⋊D59—22no—
579C2×C22⋊D59—22no—
580C2×C22⋊D59—22no—
581C2×C22⋊D59—22no—
582C2×C22⋊D59—22no—
583C2×C22⋊D59—22no—
584C2×C22⋊D59—22no—
585C2×C22⋊D59—22no—
586C2×C22⋊D59—22no—
587C2×C22⋊D59—22no—
588C2×C22⋊D59—22no—
589C2×C22⋊D59—22no—
590C2×C22⋊D59—22no—
591C2×C22⋊D59—22no—
592C2×C22⋊D59—22no—
593C2×C22⋊D59—22no—
594C2×C22⋊D59—22no—
595C2×C22⋊D59—22no—
596C2×C22⋊D59—22no—
597C2×C22⋊D59—22no—
598C2×C22⋊D59—22no—
599C2×C22⋊D59—22no—
600C2×C22⋊D59—22no—
601C2×C22⋊D59—22no—
602C2×C22⋊D59—22no—
603C2×C22⋊D59—22no—
604C2×C22⋊D59—41no—
605C2×C22⋊D59—41no—
606C2×C22⋊D59—41no—
607C2×C22⋊D59—41no—
608C2×C22⋊D59—41no—
609C2×C22⋊D59—41no—
610C2×C22⋊D59—41no—
611C2×C22⋊D59—41no—
612C2×C22⋊D59—41no—
613C2×C22⋊D59—41no—
614C2×C22⋊D59C2×D414yescomplemented
615C2×C22⋊D59C2×D414yescomplemented
616C22×Dic59—22no—
617C22×Dic59—22no—
618C22×Dic59—22no—
619C22×Dic59—22no—
620C22×Dic59—22no—
621C22×Dic59—22no—
622C22×Dic59—41no—
623C22×Dic59—41no—
624C22×Dic59—41no—
625C22×Dic59C2411yescharacteristic
626C22×Dic59C2411yescharacteristic
627C22×Dic59C2411yescharacteristic
628C22×Dic59C2411yescharacteristic
629C22×Dic59C2411yescharacteristic
630C22×Dic59C2411yescharacteristic
631C22×Dic59C2411yescharacteristic
632C22×Dic59C2411yescharacteristic
633C22×Dic59C2411yescharacteristic
634C22×Dic59C2411yescharacteristic
635D4×D59—232no—
636D4×D59—416no—
637D4×D59—416no—
638D4×D59—416no—
639D4×D59—416no—
640D4×D59—416no—
641D4×D59—416no—
642C2×D236—22no—
643C2×D236—22no—
644C2×D236—22no—
645C2×D236—22no—
646C2×D236—22no—
647C2×D236—22no—
648C2×D236—22no—
649C2×D236—22no—
650C2×D236—22no—
651C2×D236—22no—
652C2×D236—22no—
653C2×D236—22no—
654C2×D236—22no—
655C2×D236—22no—
656C2×D236—22no—
657C2×D236—41no—
658C2×D236—41no—
659C2×D236—41no—
660C2×D236—41no—
661C2×D236—41no—
662C2×D236C2×D414yescomplemented
663C2×C4×D59—22no—
664C2×C4×D59—22no—
665C2×C4×D59—22no—
666C2×C4×D59—22no—
667C2×C4×D59—22no—
668C2×C4×D59—22no—
669C2×C4×D59—22no—
670C2×C4×D59—22no—
671C2×C4×D59—22no—
672C2×C4×D59—22no—
673C2×C4×D59—22no—
674C2×C4×D59—22no—
675C2×C4×D59—22no—
676C2×C4×D59—22no—
677C2×C4×D59—22no—
678C2×C4×D59—22no—
679C2×C4×D59—22no—
680C2×C4×D59—22no—
681C2×C4×D59—22no—
682C2×C4×D59—22no—
683C2×C4×D59—22no—
684C2×C4×D59—22no—
685C2×C4×D59—22no—
686C2×C4×D59—22no—
687C2×C4×D59—22no—
688C2×C4×D59—22no—
689C2×C4×D59—22no—
690C2×C4×D59—22no—
691C2×C4×D59—22no—
692C2×C4×D59—22no—
693C2×C4×D59—22no—
694C2×C4×D59—22no—
695C2×C4×D59—22no—
696C2×C4×D59—22no—
697C2×C4×D59—22no—
698C2×C4×D59—22no—
699C2×C4×D59—22no—
700C2×C4×D59—416no—
701C2×C4×D59—416no—
702C2×C4×D59—416no—
703C2×C4×D59—41no—
704C2×C4×D59—41no—
705C2×C4×D59—41no—
706C2×C4×D59—41no—
707C2×C4×D59—41no—
708C2×C4×D59—41no—
709C2×C4×D59C2×D414yes—
710C2×C4×D59C2×D414yes—
711C2×C4×D59C2×D414yes—
712C2×C4×D59C2×D414yes—
713C2×C4×D59C2×D414yes—
714C4⋊C4×C59—22no—
715C4⋊C4×C59—22no—
716C4⋊C4×C59—22no—
717C4⋊C4×C59—41no—
718C22⋊C4×C59—22no—
719C22⋊C4×C59—22no—
720C22⋊C4×C59—22no—
721C22⋊C4×C59—22no—
722C22⋊C4×C59—22no—
723C22⋊C4×C59—22no—
724C22⋊C4×C59—22no—
725C22⋊C4×C59—22no—
726C22⋊C4×C59—22no—
727C22⋊C4×C59—22no—
728C22⋊C4×C59—22no—
729C22⋊C4×C59—22no—
730C22⋊C4×C59—41no—
731C22⋊C4×C59C2×D414yescomplemented
732C22⋊C4×C59C2×D414yescomplemented
733C42×C59—22no—
734C22⋊Dic59—22no—
735C22⋊Dic59—22no—
736C22⋊Dic59—22no—
737C22⋊Dic59—22no—
738C22⋊Dic59—22no—
739C22⋊Dic59—22no—
740C22⋊Dic59—22no—
741C22⋊Dic59—22no—
742C22⋊Dic59—22no—
743C22⋊Dic59—22no—
744C22⋊Dic59—22no—
745C22⋊Dic59—22no—
746C22⋊Dic59—41no—
747C22⋊Dic59C2×D414yescomplemented
748C22⋊Dic59C2×D414yescomplemented
749(C2×D59)⋊C4—22no—
750(C2×D59)⋊C4—22no—
751(C2×D59)⋊C4—22no—
752(C2×D59)⋊C4—22no—
753(C2×D59)⋊C4—22no—
754(C2×D59)⋊C4—22no—
755(C2×D59)⋊C4—22no—
756(C2×D59)⋊C4—22no—
757(C2×D59)⋊C4—22no—
758(C2×D59)⋊C4—22no—
759(C2×D59)⋊C4—22no—
760(C2×D59)⋊C4—22no—
761(C2×D59)⋊C4—22no—
762(C2×D59)⋊C4—22no—
763(C2×D59)⋊C4—22no—
764(C2×D59)⋊C4—22no—
765(C2×D59)⋊C4—22no—
766(C2×D59)⋊C4—22no—
767(C2×D59)⋊C4—22no—
768(C2×D59)⋊C4—22no—
769(C2×D59)⋊C4—22no—
770(C2×D59)⋊C4—22no—
771(C2×D59)⋊C4—22no—
772(C2×D59)⋊C4—22no—
773(C2×D59)⋊C4—41no—
774(C2×D59)⋊C4—41no—
775(C2×D59)⋊C4C2×D414yescomplemented
776(C2×D59)⋊C4C2×D414yescomplemented
777(C2×D59)⋊C4C2×D414yescomplemented
778(C2×D59)⋊C4C2×D414yescomplemented
779C4⋊Dic59—22no—
780C4⋊Dic59—22no—
781C4⋊Dic59—22no—
782C4⋊Dic59—41no—
783Dic59⋊C4—22no—
784Dic59⋊C4—22no—
785Dic59⋊C4—22no—
786Dic59⋊C4—22no—
787Dic59⋊C4—22no—
788Dic59⋊C4—22no—
789Dic59⋊C4—41no—
790Dic59⋊C4—41no—
791C4×Dic59—22no—
792C4×Dic59—22no—
793C4×Dic59—22no—
794C23×C59—21no—
795C23×C59—21no—
796C23×C59—21no—
797C23×C59—21no—
798C23×C59—28no—
799C23×C59—21no—
800C23×C59—21no—
801C23×C59—21no—
802C23×C59—21no—
803C23×C59—21no—
804C23×C59—21no—
805C23×C59—21no—
806C23×C59—21no—
807C23×C59—21no—
808C23×C59—21no—
809C23×C59—21no—
810C23×C59—21no—
811C23×C59—21no—
812C23×C59—21no—
813C23×C59—21no—
814C23×C59—21no—
815C23×C59—21no—
816C23×C59—21no—
817C23×C59—21no—
818C23×C59—21no—
819C23×C59—21no—
820C23×C59—21no—
821C23×C59—21no—
822C23×C59—21no—
823C23×C59—21no—
824C23×C59—44no—
825C23×C59—44no—
826C23×C59—44no—
827C23×C59—44no—
828C23×C59—44no—
829C23×C59—44no—
830C23×C59C22×D412yes—
831C23×C59C22×D412yes—
832C23×C59C22×D412yes—
833C23×C59C22×D412yes—
834C23×C59C2×#4112yes—
835C23×C59C2×#4112yes—
836C23×C59C2511yescharacteristic
837C22×D59—21no—
838C22×D59—21no—
839C22×D59—21no—
840C22×D59—21no—
841C22×D59—28no—
842C22×D59—28no—
843C22×D59—28no—
844C22×D59—28no—
845C22×D59—28no—
846C22×D59—28no—
847C22×D59—28no—
848C22×D59—28no—
849C22×D59—28no—
850C22×D59—21no—
851C22×D59—21no—
852C22×D59—21no—
853C22×D59—21no—
854C22×D59—21no—
855C22×D59—21no—
856C22×D59—21no—
857C22×D59—21no—
858C22×D59—21no—
859C22×D59—21no—
860C22×D59—21no—
861C22×D59—21no—
862C22×D59—21no—
863C22×D59—21no—
864C22×D59—21no—
865C22×D59—21no—
866C22×D59—21no—
867C22×D59—21no—
868C22×D59—28no—
869C22×D59—28no—
870C22×D59—28no—
871C22×D59—28no—
872C22×D59—28no—
873C22×D59—28no—
874C22×D59—28no—
875C22×D59—28no—
876C22×D59—28no—
877C22×D59—21no—
878C22×D59—21no—
879C22×D59—21no—
880C22×D59—21no—
881C22×D59—21no—
882C22×D59—21no—
883C22×D59—21no—
884C22×D59—44no—
885C22×D59—44no—
886C22×D59—44no—
887C22×D59—44no—
888C22×D59—44no—
889C22×D59—44no—
890C22×D59—44no—
891C22×D59—44no—
892C22×D59—44no—
893C22×D59—44no—
894C22×D59—44no—
895C22×D59—44no—
896C22×D59—44no—
897C22×D59—44no—
898C22×D59—4128no—
899C22×D59—44no—
900C22×D59—44no—
901C22×D59—44no—
902C22×D59—44no—
903C22×D59—44no—
904C22×D59—44no—
905C22×D59—44no—
906C22×D59—44no—
907C22×D59—44no—
908C22×D59—44no—
909C22×D59—44no—
910C22×D59—44no—
911C22×D59—44no—
912C22×D59—44no—
913C22×D59—44no—
914C22×D59—44no—
915C22×D59—44no—
916C22×D59—44no—
917C22×D59—44no—
918C22×D59—44no—
919C22×D59—44no—
920C22×D59—44no—
921C22×D59—44no—
922C22×D59#121116yescomplemented
923C22×D59C22×D412yes—
924C22×D59C22×D412yes—
925C22×D59C22×D412yes—
926C22×D59C22×D412yes—
927C22×D59C22×D412yes—
928C22×D59C22×D412yes—
929C22×D59C22×D412yes—
930C22×D59C2×#4112yes—
931C22×D59C2×#4112yes—
932C22×D59C2×#4112yes—
933C22×D59C2×#4112yes—
934C22×D59H(5,𝔽2)12yes—
935C22×D59H(5,𝔽2)12yes—
936D4×C59—28no—
937D4×C59—44no—
938D4×C59—44no—
939D4×C59—44no—
940D4×C59—44no—
941D4×C59—44no—
942D4×C59—44no—
943C2×C4×C59—21no—
944C2×C4×C59—21no—
945C2×C4×C59—21no—
946C2×C4×C59—21no—
947C2×C4×C59—21no—
948C2×C4×C59—21no—
949C2×C4×C59—21no—
950C2×C4×C59—21no—
951C2×C4×C59—21no—
952C2×C4×C59—21no—
953C2×C4×C59—21no—
954C2×C4×C59—21no—
955C2×C4×C59—21no—
956C2×C4×C59—21no—
957C2×C4×C59—21no—
958C2×C4×C59—21no—
959C2×C4×C59—21no—
960C2×C4×C59—21no—
961C2×C4×C59—21no—
962C2×C4×C59—21no—
963C2×C4×C59—21no—
964C2×C4×C59—21no—
965C2×C4×C59—21no—
966C2×C4×C59—21no—
967C2×C4×C59—21no—
968C2×C4×C59—44no—
969C2×C4×C59—44no—
970C2×C4×C59—44no—
971C2×C4×C59C22×D412yes—
972C2×C4×C59C22×D412yes—
973C2×C4×C59C22×D412yes—
974C2×C4×C59C22×D412yes—
975C2×C4×C59C22×D412yes—
976C22⋊D59—28no—
977C22⋊D59—28no—
978C22⋊D59—44no—
979C22⋊D59—44no—
980C22⋊D59—44no—
981C22⋊D59—44no—
982C22⋊D59—44no—
983C22⋊D59—44no—
984C22⋊D59—44no—
985C22⋊D59—44no—
986C22⋊D59—44no—
987C22⋊D59—44no—
988C22⋊D59—44no—
989C22⋊D59—44no—
990C2×Dic59—21no—
991C2×Dic59—21no—
992C2×Dic59—21no—
993C2×Dic59—21no—
994C2×Dic59—21no—
995C2×Dic59—21no—
996C2×Dic59—21no—
997C2×Dic59—21no—
998C2×Dic59—21no—
999C2×Dic59—21no—
1000C2×Dic59—21no—
1001C2×Dic59—21no—
1002C2×Dic59—21no—
1003C2×Dic59—21no—
1004C2×Dic59—21no—
1005C2×Dic59—21no—
1006C2×Dic59—21no—
1007C2×Dic59—21no—
1008C2×Dic59—21no—
1009C2×Dic59—21no—
1010C2×Dic59—21no—
1011C2×Dic59—21no—
1012C2×Dic59—21no—
1013C2×Dic59—21no—
1014C2×Dic59—21no—
1015C2×Dic59—44no—
1016C2×Dic59—44no—
1017C2×Dic59—44no—
1018C2×Dic59C22×D412yes—
1019C2×Dic59C22×D412yes—
1020C2×Dic59C22×D412yes—
1021C2×Dic59C22×D412yes—
1022C2×Dic59C22×D412yes—
1023D236—28no—
1024D236—44no—
1025D236—44no—
1026D236—44no—
1027D236—44no—
1028D236—44no—
1029D236—44no—
1030C4×D59—28no—
1031C4×D59—28no—
1032C4×D59—28no—
1033C4×D59—28no—
1034C4×D59—28no—
1035C4×D59—44no—
1036C4×D59—44no—
1037C4×D59—44no—
1038C4×D59—44no—
1039C4×D59—44no—
1040C4×D59—44no—
1041C4×D59—44no—
1042C4×D59—44no—
1043C4×D59—44no—
1044C4×D59—44no—
1045C4×D59—44no—
1046C2×#2424—591nomaximal, Sylow
1047C22×C59—22no—
1048C22×C59—22no—
1049C22×C59—22no—
1050C22×C59—22no—
1051C22×C59—22no—
1052C22×C59—22no—
1053C22×C59—22no—
1054C22×C59—22no—
1055C22×C59—22no—
1056C22×C59—22no—
1057C22×C59—22no—
1058C22×C59—22no—
1059C22×C59—22no—
1060C22×C59—22no—
1061C22×C59—22no—
1062C22×C59—416no—
1063C22×C59—41no—
1064C22×C59—41no—
1065C22×C59—41no—
1066C22×C59—41no—
1067C22×C59—41no—
1068C22×C59—41no—
1069C22×C59—41no—
1070C22×C59—41no—
1071C22×C59—41no—
1072C22×C59—41no—
1073C22×C59—41no—
1074C22×C59—41no—
1075C22×C59—41no—
1076C22×C59—41no—
1077C22×C59—41no—
1078C22×C59—41no—
1079C22×C59—41no—
1080C22×C59—41no—
1081C22×C59—41no—
1082C22×C59C2×#12114yescomplemented
1083C22×C59C23×D411yescharacteristic
1084C22×C59C23×D411yescharacteristic
1085C22×C59C23×D411yescharacteristic
1086C22×C59C22×#4111yescharacteristic
1087C22×C59C22×#4111yescharacteristic
1088C22×C59C2×H(5,𝔽2)11yescharacteristic
1089C22×C59C2×H(5,𝔽2)11yescharacteristic
1090C2×D59—22no—
1091C2×D59—22no—
1092C2×D59—22no—
1093C2×D59—22no—
1094C2×D59—22no—
1095C2×D59—22no—
1096C2×D59—232no—
1097C2×D59—22no—
1098C2×D59—22no—
1099C2×D59—22no—
1100C2×D59—22no—
1101C2×D59—22no—
1102C2×D59—22no—
1103C2×D59—22no—
1104C2×D59—22no—
1105C2×D59—22no—
1106C2×D59—416no—
1107C2×D59—416no—
1108C2×D59—416no—
1109C2×D59—41no—
1110C2×D59—41no—
1111C2×D59—41no—
1112C2×D59—41no—
1113C2×D59—41no—
1114C2×D59—41no—
1115C2×D59—41no—
1116C2×D59—41no—
1117C2×D59—41no—
1118C2×D59—41no—
1119C2×D59—41no—
1120C2×D59—41no—
1121C2×D59—416no—
1122C2×D59—416no—
1123C2×D59—416no—
1124C2×D59—41no—
1125C2×D59—41no—
1126C2×D59—41no—
1127C2×D59—41no—
1128C2×D59—41no—
1129C2×D59—41no—
1130C2×D59—41no—
1131C2×D59—88no—
1132C2×D59C2×#12114yes—
1133C2×D59C2×#12114yescomplemented
1134C2×D59#52514yes—
1135C2×D59#53814yes—
1136C2×D59D4214yes—
1137C2×D59D4214yes—
1138C2×D59#54614yes—
1139C2×D59#54614yes—
1140C4×C59—22no—
1141C4×C59—22no—
1142C4×C59—22no—
1143C4×C59—22no—
1144C4×C59—22no—
1145C4×C59—41no—
1146C4×C59—41no—
1147C4×C59—41no—
1148C4×C59—41no—
1149C4×C59—41no—
1150Dic59—22no—
1151Dic59—22no—
1152Dic59—22no—
1153Dic59—22no—
1154Dic59—22no—
1155Dic59—41no—
1156Dic59—41no—
1157Dic59—41no—
1158Dic59—41no—
1159Dic59—41no—
1160C22×#121—591no—
1161C22×#121—591no—
1162C22×#120—591no—
1163C22×#120—591no—
1164C22×C4×D4—591no—
1165C23×C22⋊C4—591no—
1166#2424—591no—
1167#2424—591no—
1168#2424—591no—
1169#2424—591no—
1170#2424—591no—
1171#2424—591no—
1172#2424—591no—
1173#2424—591no—
1174#2424—591no—
1175#2424—591no—
1176#2424—591no—
1177#2424—591no—
1178#2424—591no—
1179#2424—591no—
1180#2424—591no—
1181#2424D5911yescharacteristic, direct product factor
1182C2×#396—591no—
1183C2×#394—591no—
1184C2×#394—591no—
1185C2×#392—591no—
1186C2×#390—591no—
1187C2×#388—591no—
1188C2×#386—591no—
1189C2×#386—591no—
1190C2×#385—591no—
1191C2×C59—24no—
1192C2×C59—42no—
1193C2×C59—42no—
1194C2×C59—42no—
1195C2×C59—81no—
1196C2×C59C22×#12111yescharacteristic
1197C2×C59C2×#52511yescharacteristic
1198C2×C59C2×#53811yescharacteristic
1199C2×C59C2×D4211yescharacteristic
1200C2×C59C2×D4211yescharacteristic
1201C2×C59C2×#54611yescharacteristic
1202C2×C59C2×#54611yescharacteristic
1203D59—24no—
1204D59—42no—
1205D59—42no—
1206D59—42no—
1207D59—81no—
1208D59#242418yesdirect product factor
1209C26—591no—
1210C23×D4—591no—
1211C23×D4—591no—
1212C23×D4—591no—
1213C23×D4—591no—
1214C23×D4—591no—
1215C23×D4—591no—
1216C23×D4—591no—
1217C24×C4—591no—
1218C24×C4—591no—
1219C24×C4—591no—
1220C2×#121—591no—
1221C2×#121—591no—
1222C2×#121—591no—
1223C2×#121—591no—
1224C2×#121—591no—
1225C2×#121—591no—
1226C2×#121—591no—
1227C2×#121—591no—
1228C2×#121—591no—
1229C2×#121—591no—
1230C2×#121—591no—
1231C2×#121—591no—
1232C2×#121—591no—
1233C2×#121—591no—
1234C2×#121—1188no—
1235C2×#121—1188no—
1236C2×#121C2×D5911yescharacteristic, complemented
1237C2×#121C2×D5911yescharacteristic, complemented
1238C2×#120—591no—
1239C2×#120—591no—
1240C2×#120—591no—
1241C2×#120—591no—
1242C2×#120—591no—
1243C2×#120—591no—
1244C2×#120—591no—
1245C2×#120—591no—
1246C2×#120—591no—
1247C2×#120—591no—
1248C2×#120—591no—
1249C2×#120—591no—
1250C2×#120—591no—
1251C2×#120—591no—
1252C2×#120—1188no—
1253C2×#120—1188no—
1254C2×#120C2×D5911yescharacteristic, complemented
1255C2×#120C2×D5911yescharacteristic, complemented
1256C2×C4×D4—591no—
1257C2×C4×D4—591no—
1258C2×C4×D4—591no—
1259C2×C4×D4—591no—
1260C2×C4×D4—591no—
1261C2×C4×D4—591no—
1262C2×C4×D4—591no—
1263C2×C4×D4—1188no—
1264C2×C4×D4C2×D5911yescharacteristic, complemented
1265C22×C4⋊C4—591no—
1266C22×C4⋊C4—591no—
1267C22×C4⋊C4—591no—
1268C22×C4⋊C4—591no—
1269C22×C22⋊C4—591no—
1270C22×C22⋊C4—591no—
1271C22×C22⋊C4—591no—
1272C22×C22⋊C4—591no—
1273C22×C22⋊C4—591no—
1274C22×C22⋊C4—591no—
1275C22×C22⋊C4—591no—
1276C22×C22⋊C4—591no—
1277C22×C22⋊C4—591no—
1278C22×C22⋊C4—591no—
1279C22×C22⋊C4—591no—
1280C22×C22⋊C4—591no—
1281C22×C22⋊C4—591no—
1282C22×C22⋊C4—591no—
1283C22×C22⋊C4—591no—
1284C22×C22⋊C4—591no—
1285C22×C22⋊C4—591no—
1286C22×C22⋊C4—591no—
1287C22×C22⋊C4—591no—
1288C22×C22⋊C4—591no—
1289C22×C22⋊C4—591no—
1290C22×C22⋊C4—591no—
1291C22×C22⋊C4—1188no—
1292C22×C22⋊C4C2×D5911yescharacteristic, complemented
1293C22×C42—591no—
1294#396—591no—
1295#396—591no—
1296#396—591no—
1297#396—591no—
1298#396—591no—
1299#396—591no—
1300#396—591no—
1301#396C2×D5911yescharacteristic, complemented
1302#394—591no—
1303#394—591no—
1304#394—591no—
1305#394—591no—
1306#394—591no—
1307#394—591no—
1308#394—591no—
1309#394—591no—
1310#394—591no—
1311#394—591no—
1312#394—591no—
1313#394—591no—
1314#394—591no—
1315#394—591no—
1316#394C2×D5911yescharacteristic, complemented
1317#394C2×D5911yescharacteristic, complemented
1318#392—591no—
1319#392—591no—
1320#392—591no—
1321#392—591no—
1322#392—591no—
1323#392—591no—
1324#392—591no—
1325#392C2×D5911yescharacteristic, complemented
1326#390—591no—
1327#390—591no—
1328#390—591no—
1329#390—591no—
1330#390—591no—
1331#390—591no—
1332#390—591no—
1333#390C2×D5911yescharacteristic, complemented
1334#388—591no—
1335#388—591no—
1336#388—591no—
1337#388—591no—
1338#388—591no—
1339#388—591no—
1340#388—591no—
1341#388C2×D5911yescharacteristic, complemented
1342#386—591no—
1343#386—591no—
1344#386—591no—
1345#386—591no—
1346#386—591no—
1347#386—591no—
1348#386—591no—
1349#386—591no—
1350#386—591no—
1351#386—591no—
1352#386—591no—
1353#386—591no—
1354#386—591no—
1355#386—591no—
1356#386C2×D5911yescharacteristic, complemented
1357#386C2×D5911yescharacteristic, complemented
1358#385—591no—
1359#385—591no—
1360#385—591no—
1361#385—591no—
1362#385—591no—
1363#385—591no—
1364#385—591no—
1365#385C2×D5911yescharacteristic, complemented
1366C2×#95—591no—
1367C2×#95—591no—
1368C2×#95—591no—
1369C2×#95—591no—
1370C59C2×#242411yescharacteristic, complemented, Sylow
1371C25—591no—
1372C25—591no—
1373C25—591no—
1374C25—591no—
1375C25—591no—
1376C25—591no—
1377C25—591no—
1378C25—591no—
1379C25—1184no—
1380C25—1184no—
1381C25—1184no—
1382C25—1184no—
1383C25—1184no—
1384C25—2362no—
1385C25—2362no—
1386C25C22×D5911yescharacteristic
1387C22×D4—591no—
1388C22×D4—591no—
1389C22×D4—598no—
1390C22×D4—591no—
1391C22×D4—591no—
1392C22×D4—591no—
1393C22×D4—591no—
1394C22×D4—591no—
1395C22×D4—591no—
1396C22×D4—591no—
1397C22×D4—591no—
1398C22×D4—591no—
1399C22×D4—591no—
1400C22×D4—591no—
1401C22×D4—591no—
1402C22×D4—591no—
1403C22×D4—591no—
1404C22×D4—591no—
1405C22×D4—591no—
1406C22×D4—591no—
1407C22×D4—591no—
1408C22×D4—591no—
1409C22×D4—1184no—
1410C22×D4—1184no—
1411C22×D4—1184no—
1412C22×D4—1184no—
1413C22×D4—1184no—
1414C22×D4—1184no—
1415C22×D4—1184no—
1416C22×D4—1184no—
1417C22×D4—1184no—
1418C22×D4—1184no—
1419C22×D4—1184no—
1420C22×D4—1184no—
1421C22×D4—1184no—
1422C22×D4—1184no—
1423C22×D4—1184no—
1424C22×D4—2362no—
1425C22×D4—2362no—
1426C22×D4—2362no—
1427C22×D4—2362no—
1428C22×D4—2362no—
1429C22×D4C22×D5911yescharacteristic
1430C22×D4C22×D5911yescharacteristic
1431C22×D4C22×D5911yescharacteristic
1432C22×D4C22×D5911yescharacteristic
1433C22×D4C22×D5911yescharacteristic
1434C22×D4C22×D5911yescharacteristic
1435C22×D4C22×D5911yescharacteristic, complemented
1436C23×C4—591no—
1437C23×C4—591no—
1438C23×C4—591no—
1439C23×C4—591no—
1440C23×C4—591no—
1441C23×C4—591no—
1442C23×C4—591no—
1443C23×C4—591no—
1444C23×C4—591no—
1445C23×C4—591no—
1446C23×C4—591no—
1447C23×C4—591no—
1448C23×C4—591no—
1449C23×C4—591no—
1450C23×C4—591no—
1451C23×C4—591no—
1452C23×C4—591no—
1453C23×C4—591no—
1454C23×C4—591no—
1455C23×C4—1184no—
1456C23×C4—1184no—
1457C23×C4—1184no—
1458C23×C4—1184no—
1459C23×C4—1184no—
1460C23×C4—1184no—
1461C23×C4—2362no—
1462C23×C4—2362no—
1463C23×C4—2362no—
1464C23×C4C22×D5911yescharacteristic
1465C23×C4C22×D5911yescharacteristic
1466C23×C4C22×D5911yescharacteristic, complemented
1467#121—24no—
1468#121—24no—
1469#121—1184no—
1470#121—1184no—
1471#121—1184no—
1472#121—1184no—
1473#121—1184no—
1474#121—1184no—
1475#121—1184no—
1476#121—1184no—
1477#121—1184no—
1478#121—1184no—
1479#121—1184no—
1480#121—1184no—
1481#121—1184no—
1482#121—1184no—
1483#120—24no—
1484#120—24no—
1485#120—1184no—
1486#120—1184no—
1487#120—1184no—
1488#120—1184no—
1489#120—1184no—
1490#120—1184no—
1491#120—1184no—
1492#120—1184no—
1493#120—1184no—
1494#120—1184no—
1495#120—1184no—
1496#120—1184no—
1497#120—1184no—
1498#120—1184no—
1499C4×D4—24no—
1500C4×D4—1184no—
1501C4×D4—1184no—
1502C4×D4—1184no—
1503C4×D4—1184no—
1504C4×D4—1184no—
1505C4×D4—1184no—
1506C4×D4—1184no—
1507C2×C4⋊C4—591no—
1508C2×C4⋊C4—591no—
1509C2×C4⋊C4—591no—
1510C2×C4⋊C4—591no—
1511C2×C4⋊C4—591no—
1512C2×C4⋊C4—591no—
1513C2×C4⋊C4—591no—
1514C2×C4⋊C4—591no—
1515C2×C4⋊C4—591no—
1516C2×C4⋊C4—591no—
1517C2×C4⋊C4—591no—
1518C2×C4⋊C4—591no—
1519C2×C4⋊C4—1184no—
1520C2×C4⋊C4—1184no—
1521C2×C4⋊C4—1184no—
1522C2×C4⋊C4—2362no—
1523C2×C4⋊C4C22×D5911yescharacteristic, complemented
1524C2×C4⋊C4C22×D5911yescharacteristic, complemented
1525C2×C4⋊C4C22×D5911yescharacteristic, complemented
1526C2×C4⋊C4C22×D5911yescharacteristic, complemented
1527C2×C22⋊C4—24no—
1528C2×C22⋊C4—591no—
1529C2×C22⋊C4—591no—
1530C2×C22⋊C4—591no—
1531C2×C22⋊C4—591no—
1532C2×C22⋊C4—591no—
1533C2×C22⋊C4—591no—
1534C2×C22⋊C4—598no—
1535C2×C22⋊C4—598no—
1536C2×C22⋊C4—591no—
1537C2×C22⋊C4—591no—
1538C2×C22⋊C4—591no—
1539C2×C22⋊C4—591no—
1540C2×C22⋊C4—591no—
1541C2×C22⋊C4—591no—
1542C2×C22⋊C4—591no—
1543C2×C22⋊C4—591no—
1544C2×C22⋊C4—591no—
1545C2×C22⋊C4—591no—
1546C2×C22⋊C4—591no—
1547C2×C22⋊C4—591no—
1548C2×C22⋊C4—591no—
1549C2×C22⋊C4—591no—
1550C2×C22⋊C4—591no—
1551C2×C22⋊C4—591no—
1552C2×C22⋊C4—591no—
1553C2×C22⋊C4—591no—
1554C2×C22⋊C4—591no—
1555C2×C22⋊C4—591no—
1556C2×C22⋊C4—591no—
1557C2×C22⋊C4—591no—
1558C2×C22⋊C4—591no—
1559C2×C22⋊C4—591no—
1560C2×C22⋊C4—591no—
1561C2×C22⋊C4—591no—
1562C2×C22⋊C4—591no—
1563C2×C22⋊C4—591no—
1564C2×C22⋊C4—591no—
1565C2×C22⋊C4—591no—
1566C2×C22⋊C4—591no—
1567C2×C22⋊C4—591no—
1568C2×C22⋊C4—591no—
1569C2×C22⋊C4—591no—
1570C2×C22⋊C4—591no—
1571C2×C22⋊C4—591no—
1572C2×C22⋊C4—591no—
1573C2×C22⋊C4—591no—
1574C2×C22⋊C4—591no—
1575C2×C22⋊C4—1184no—
1576C2×C22⋊C4—1184no—
1577C2×C22⋊C4—1184no—
1578C2×C22⋊C4—1184no—
1579C2×C22⋊C4—1184no—
1580C2×C22⋊C4—1184no—
1581C2×C22⋊C4—1184no—
1582C2×C22⋊C4—1184no—
1583C2×C22⋊C4—1184no—
1584C2×C22⋊C4—1184no—
1585C2×C22⋊C4—1184no—
1586C2×C22⋊C4—1184no—
1587C2×C22⋊C4—1184no—
1588C2×C22⋊C4—1184no—
1589C2×C22⋊C4—1184no—
1590C2×C22⋊C4—1184no—
1591C2×C22⋊C4—1184no—
1592C2×C22⋊C4—1184no—
1593C2×C22⋊C4—1184no—
1594C2×C22⋊C4—2362no—
1595C2×C22⋊C4C22×D5911yescharacteristic
1596C2×C22⋊C4C22×D5911yescharacteristic
1597C2×C22⋊C4C22×D5911yescharacteristic
1598C2×C22⋊C4C22×D5911yescharacteristic
1599C2×C22⋊C4C22×D5911yescharacteristic
1600C2×C22⋊C4C22×D5911yescharacteristic
1601C2×C22⋊C4C22×D5911yescharacteristic
1602C2×C22⋊C4C22×D5911yescharacteristic
1603C2×C22⋊C4C22×D5911yescharacteristic
1604C2×C22⋊C4C22×D5911yescharacteristic
1605C2×C22⋊C4C22×D5911yescharacteristic, complemented
1606C2×C22⋊C4C22×D5911yescharacteristic, complemented
1607C2×C22⋊C4C22×D5911yescharacteristic, complemented
1608C2×C22⋊C4C22×D5911yescharacteristic, complemented
1609C2×C22⋊C4C22×D5911yescharacteristic, complemented
1610C2×C42—591no—
1611C2×C42—591no—
1612C2×C42—591no—
1613C2×C42—1184no—
1614C2×C42C22×D5911yescharacteristic, complemented
1615#95—591no—
1616#95—591no—
1617#95—591no—
1618#95—591no—
1619#95—591no—
1620#95—591no—
1621#95—591no—
1622#95—591no—
1623#95—591no—
1624#95—591no—
1625#95—591no—
1626#95—591no—
1627#95C22×D5911yescharacteristic, complemented
1628#95C22×D5911yescharacteristic, complemented
1629#95C22×D5911yescharacteristic, complemented
1630#95C22×D5911yescharacteristic, complemented
1631C24—22no—
1632C24—22no—
1633C24—22no—
1634C24—22no—
1635C24—22no—
1636C24—41no—
1637C24—41no—
1638C24—591no—
1639C24—594no—
1640C24—594no—
1641C24—594no—
1642C24—591no—
1643C24—594no—
1644C24—594no—
1645C24—594no—
1646C24—591no—
1647C24—591no—
1648C24—591no—
1649C24—591no—
1650C24—1182no—
1651C24—1182no—
1652C24—1182no—
1653C24—1182no—
1654C24—1182no—
1655C24—1182no—
1656C24—1182no—
1657C24—1182no—
1658C24—1182no—
1659C24—1182no—
1660C24—1182no—
1661C24—1182no—
1662C24—1182no—
1663C24—1182no—
1664C24—1182no—
1665C24—1182no—
1666C24—1182no—
1667C24—1182no—
1668C24—1182no—
1669C24—1182no—
1670C24—1182no—
1671C24—1182no—
1672C24—1182no—
1673C24—1182no—
1674C24—1182no—
1675C24—1182no—
1676C24—1182no—
1677C24—1182no—
1678C24—1182no—
1679C24—1182no—
1680C24—1182no—
1681C24—1182no—
1682C24—1182no—
1683C24—1182no—
1684C24—1182no—
1685C24—1182no—
1686C24—1182no—
1687C24—1182no—
1688C24—1182no—
1689C24—11832no—
1690C24—1182no—
1691C24—1182no—
1692C24—1182no—
1693C24—1182no—
1694C24—1182no—
1695C24—2361no—
1696C24—2361no—
1697C24—2361no—
1698C24—2361no—
1699C24—2361no—
1700C24—2361no—
1701C24—23616no—
1702C24—23616no—
1703C24—23616no—
1704C24—23616no—
1705C24—23616no—
1706C24—23616no—
1707C24C23×D5911yescharacteristic
1708C24C23×D5911yescharacteristic
1709C24C23×D5911yescharacteristic
1710C24C23×D5911yescharacteristic
1711C24C23×D5911yescharacteristic
1712C2×D4—22no—
1713C2×D4—22no—
1714C2×D4—22no—
1715C2×D4—22no—
1716C2×D4—22no—
1717C2×D4—22no—
1718C2×D4—22no—
1719C2×D4—22no—
1720C2×D4—22no—
1721C2×D4—22no—
1722C2×D4—22no—
1723C2×D4—22no—
1724C2×D4—22no—
1725C2×D4—22no—
1726C2×D4—22no—
1727C2×D4—41no—
1728C2×D4—41no—
1729C2×D4—41no—
1730C2×D4—41no—
1731C2×D4—41no—
1732C2×D4—594no—
1733C2×D4—594no—
1734C2×D4—594no—
1735C2×D4—1182no—
1736C2×D4—1182no—
1737C2×D4—1182no—
1738C2×D4—1182no—
1739C2×D4—1182no—
1740C2×D4—1182no—
1741C2×D4—1182no—
1742C2×D4—1182no—
1743C2×D4—1182no—
1744C2×D4—1182no—
1745C2×D4—1182no—
1746C2×D4—1182no—
1747C2×D4—1182no—
1748C2×D4—1182no—
1749C2×D4—1182no—
1750C2×D4—1182no—
1751C2×D4—1182no—
1752C2×D4—1182no—
1753C2×D4—11832no—
1754C2×D4—1182no—
1755C2×D4—1182no—
1756C2×D4—1182no—
1757C2×D4—1182no—
1758C2×D4—1182no—
1759C2×D4—1182no—
1760C2×D4—1182no—
1761C2×D4—1182no—
1762C2×D4—1182no—
1763C2×D4—1182no—
1764C2×D4—1182no—
1765C2×D4—1182no—
1766C2×D4—1182no—
1767C2×D4—1182no—
1768C2×D4—1182no—
1769C2×D4—1182no—
1770C2×D4—1182no—
1771C2×D4—1182no—
1772C2×D4—1182no—
1773C2×D4—1182no—
1774C2×D4—1182no—
1775C2×D4—1182no—
1776C2×D4—1182no—
1777C2×D4—1182no—
1778C2×D4—1182no—
1779C2×D4—1182no—
1780C2×D4—1182no—
1781C2×D4—2361no—
1782C2×D4—2361no—
1783C2×D4—2361no—
1784C2×D4—2361no—
1785C2×D4—2361no—
1786C2×D4—23616no—
1787C2×D4—23616no—
1788C2×D4—23616no—
1789C2×D4—2361no—
1790C2×D4—2361no—
1791C2×D4—2361no—
1792C2×D4—2361no—
1793C2×D4—2361no—
1794C2×D4—2361no—
1795C2×D4—2361no—
1796C2×D4—2361no—
1797C2×D4—2361no—
1798C2×D4—2361no—
1799C2×D4—23616no—
1800C2×D4—23616no—
1801C2×D4—23616no—
1802C2×D4D4×D5914yescomplemented
1803C22×C4—22no—
1804C22×C4—22no—
1805C22×C4—22no—
1806C22×C4—22no—
1807C22×C4—22no—
1808C22×C4—22no—
1809C22×C4—41no—
1810C22×C4—41no—
1811C22×C4—41no—
1812C22×C4—591no—
1813C22×C4—591no—
1814C22×C4—591no—
1815C22×C4—591no—
1816C22×C4—591no—
1817C22×C4—594no—
1818C22×C4—594no—
1819C22×C4—594no—
1820C22×C4—594no—
1821C22×C4—594no—
1822C22×C4—591no—
1823C22×C4—591no—
1824C22×C4—591no—
1825C22×C4—591no—
1826C22×C4—591no—
1827C22×C4—1182no—
1828C22×C4—1182no—
1829C22×C4—1182no—
1830C22×C4—1182no—
1831C22×C4—1182no—
1832C22×C4—1182no—
1833C22×C4—1182no—
1834C22×C4—1182no—
1835C22×C4—1182no—
1836C22×C4—1182no—
1837C22×C4—1182no—
1838C22×C4—1182no—
1839C22×C4—1182no—
1840C22×C4—1182no—
1841C22×C4—1182no—
1842C22×C4—1182no—
1843C22×C4—1182no—
1844C22×C4—1182no—
1845C22×C4—1182no—
1846C22×C4—1182no—
1847C22×C4—1182no—
1848C22×C4—1182no—
1849C22×C4—1182no—
1850C22×C4—1182no—
1851C22×C4—1182no—
1852C22×C4—1182no—
1853C22×C4—1182no—
1854C22×C4—1182no—
1855C22×C4—1182no—
1856C22×C4—1182no—
1857C22×C4—1182no—
1858C22×C4—1182no—
1859C22×C4—1182no—
1860C22×C4—1182no—
1861C22×C4—1182no—
1862C22×C4—1182no—
1863C22×C4—1182no—
1864C22×C4—1182no—
1865C22×C4—1182no—
1866C22×C4—1182no—
1867C22×C4—1182no—
1868C22×C4—1182no—
1869C22×C4—1182no—
1870C22×C4—2361no—
1871C22×C4—2361no—
1872C22×C4—2361no—
1873C22×C4—2361no—
1874C22×C4—2361no—
1875C22×C4—2361no—
1876C22×C4—23616no—
1877C22×C4—23616no—
1878C22×C4—23616no—
1879C22×C4—2361no—
1880C22×C4—2361no—
1881C22×C4—2361no—
1882C22×C4C23×D5911yescharacteristic
1883C22×C4C23×D5911yescharacteristic
1884C22×C4C23×D5911yescharacteristic
1885C22×C4C23×D5911yescharacteristic
1886C22×C4C23×D5911yescharacteristic
1887C22×C4C23×D5911yescharacteristic
1888C22×C4C23×D5911yescharacteristic
1889C22×C4C23×D5911yescharacteristic
1890C22×C4C23×D5911yescharacteristic
1891C22×C4C23×D5911yescharacteristic
1892C4⋊C4—22no—
1893C4⋊C4—22no—
1894C4⋊C4—22no—
1895C4⋊C4—41no—
1896C4⋊C4—1182no—
1897C4⋊C4—1182no—
1898C4⋊C4—1182no—
1899C4⋊C4—1182no—
1900C4⋊C4—1182no—
1901C4⋊C4—1182no—
1902C4⋊C4—1182no—
1903C4⋊C4—1182no—
1904C4⋊C4—1182no—
1905C4⋊C4—2361no—
1906C4⋊C4—2361no—
1907C4⋊C4—2361no—
1908C22⋊C4—22no—
1909C22⋊C4—22no—
1910C22⋊C4—22no—
1911C22⋊C4—22no—
1912C22⋊C4—22no—
1913C22⋊C4—22no—
1914C22⋊C4—22no—
1915C22⋊C4—22no—
1916C22⋊C4—22no—
1917C22⋊C4—22no—
1918C22⋊C4—22no—
1919C22⋊C4—22no—
1920C22⋊C4—41no—
1921C22⋊C4—594no—
1922C22⋊C4—594no—
1923C22⋊C4—594no—
1924C22⋊C4—594no—
1925C22⋊C4—594no—
1926C22⋊C4—594no—
1927C22⋊C4—1182no—
1928C22⋊C4—1182no—
1929C22⋊C4—1182no—
1930C22⋊C4—1182no—
1931C22⋊C4—1182no—
1932C22⋊C4—1182no—
1933C22⋊C4—1182no—
1934C22⋊C4—1182no—
1935C22⋊C4—1182no—
1936C22⋊C4—1182no—
1937C22⋊C4—1182no—
1938C22⋊C4—1182no—
1939C22⋊C4—1182no—
1940C22⋊C4—1182no—
1941C22⋊C4—1182no—
1942C22⋊C4—1182no—
1943C22⋊C4—1182no—
1944C22⋊C4—1182no—
1945C22⋊C4—1182no—
1946C22⋊C4—1182no—
1947C22⋊C4—1182no—
1948C22⋊C4—1182no—
1949C22⋊C4—1182no—
1950C22⋊C4—1182no—
1951C22⋊C4—1182no—
1952C22⋊C4—1182no—
1953C22⋊C4—1182no—
1954C22⋊C4—1182no—
1955C22⋊C4—1182no—
1956C22⋊C4—1182no—
1957C22⋊C4—1182no—
1958C22⋊C4—1182no—
1959C22⋊C4—1182no—
1960C22⋊C4—1182no—
1961C22⋊C4—1182no—
1962C22⋊C4—1182no—
1963C22⋊C4—2361no—
1964C22⋊C4—2361no—
1965C22⋊C4—2361no—
1966C22⋊C4D4×D5914yescomplemented
1967C22⋊C4D4×D5914yescomplemented
1968C42—22no—
1969C42—1182no—
1970C42—1182no—
1971C42—1182no—
1972C23—21no—
1973C23—21no—
1974C23—21no—
1975C23—21no—
1976C23—28no—
1977C23—21no—
1978C23—21no—
1979C23—21no—
1980C23—21no—
1981C23—21no—
1982C23—21no—
1983C23—21no—
1984C23—21no—
1985C23—21no—
1986C23—21no—
1987C23—21no—
1988C23—21no—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—21no—
1995C23—21no—
1996C23—21no—
1997C23—21no—
1998C23—21no—
1999C23—21no—
2000C23—21no—
2001C23—21no—
2002C23—44no—
2003C23—44no—
2004C23—44no—
2005C23—44no—
2006C23—44no—
2007C23—44no—
2008C23—592no—
2009C23—592no—
2010C23—592no—
2011C23—592no—
2012C23—592no—
2013C23—592no—
2014C23—592no—
2015C23—5916no—
2016C23—592no—
2017C23—592no—
2018C23—592no—
2019C23—592no—
2020C23—592no—
2021C23—592no—
2022C23—1188no—
2023C23—1188no—
2024C23—1188no—
2025C23—1188no—
2026C23—1188no—
2027C23—1188no—
2028C23—1188no—
2029C23—1188no—
2030C23—1188no—
2031C23—1188no—
2032C23—1188no—
2033C23—1188no—
2034C23—1188no—
2035C23—1188no—
2036C23—1188no—
2037C23—1188no—
2038C23—1188no—
2039C23—1188no—
2040C23—1181no—
2041C23—1181no—
2042C23—1181no—
2043C23—1181no—
2044C23—1181no—
2045C23—1181no—
2046C23—1181no—
2047C23—1181no—
2048C23—1181no—
2049C23—1181no—
2050C23—1181no—
2051C23—1181no—
2052C23—1181no—
2053C23—1181no—
2054C23—1181no—
2055C23—1181no—
2056C23—1181no—
2057C23—1181no—
2058C23—1181no—
2059C23—1181no—
2060C23—1181no—
2061C23—1181no—
2062C23—1181no—
2063C23—1181no—
2064C23—1181no—
2065C23—1181no—
2066C23—1181no—
2067C23—1181no—
2068C23—1181no—
2069C23—2364no—
2070C23—2364no—
2071C23—2364no—
2072C23—2364no—
2073C23—2364no—
2074C23—2364no—
2075C23—2364no—
2076C23—2364no—
2077C23—2364no—
2078C23—2364no—
2079C23—2364no—
2080C23—2364no—
2081C23—2364no—
2082C23—2364no—
2083C23—2364no—
2084C23—2364no—
2085C23—2364no—
2086C23—2364no—
2087C23—2364no—
2088C23—2364no—
2089C23—2364no—
2090C23—2364no—
2091C23—2364no—
2092C23—2364no—
2093C23—2364no—
2094C23—2364no—
2095C23—2364no—
2096C23—2364no—
2097C23—2364no—
2098C23—2364no—
2099C23—2364no—
2100C23—2364no—
2101C23—2364no—
2102C23—2364no—
2103C23—236128no—
2104C23—2364no—
2105C23—2364no—
2106C23—2364no—
2107C23C2×D4×D5912yes—
2108C23C2×D4×D5912yes—
2109C23C2×D4×D5912yes—
2110C23C2×D4×D5912yes—
2111C23#41×D5912yes—
2112C23#41×D5912yes—
2113C23C24×D5911yescharacteristic
2114D4—28no—
2115D4—44no—
2116D4—44no—
2117D4—44no—
2118D4—44no—
2119D4—44no—
2120D4—44no—
2121D4—1188no—
2122D4—1188no—
2123D4—1188no—
2124D4—2364no—
2125D4—2364no—
2126D4—2364no—
2127D4—2364no—
2128D4—2364no—
2129D4—2364no—
2130D4—2364no—
2131D4—2364no—
2132D4—2364no—
2133D4—2364no—
2134D4—2364no—
2135D4—2364no—
2136D4—2364no—
2137D4—2364no—
2138D4—2364no—
2139D4—2364no—
2140D4—2364no—
2141D4—2364no—
2142C2×C4—21no—
2143C2×C4—21no—
2144C2×C4—21no—
2145C2×C4—21no—
2146C2×C4—21no—
2147C2×C4—21no—
2148C2×C4—21no—
2149C2×C4—21no—
2150C2×C4—21no—
2151C2×C4—21no—
2152C2×C4—21no—
2153C2×C4—21no—
2154C2×C4—21no—
2155C2×C4—21no—
2156C2×C4—21no—
2157C2×C4—21no—
2158C2×C4—21no—
2159C2×C4—21no—
2160C2×C4—21no—
2161C2×C4—21no—
2162C2×C4—21no—
2163C2×C4—21no—
2164C2×C4—21no—
2165C2×C4—21no—
2166C2×C4—21no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—592no—
2171C2×C4—592no—
2172C2×C4—592no—
2173C2×C4—592no—
2174C2×C4—592no—
2175C2×C4—1188no—
2176C2×C4—1188no—
2177C2×C4—1188no—
2178C2×C4—1188no—
2179C2×C4—1188no—
2180C2×C4—1181no—
2181C2×C4—1181no—
2182C2×C4—1181no—
2183C2×C4—1181no—
2184C2×C4—1181no—
2185C2×C4—1181no—
2186C2×C4—1181no—
2187C2×C4—1181no—
2188C2×C4—1181no—
2189C2×C4—1181no—
2190C2×C4—1181no—
2191C2×C4—1181no—
2192C2×C4—1181no—
2193C2×C4—1181no—
2194C2×C4—1181no—
2195C2×C4—1181no—
2196C2×C4—1181no—
2197C2×C4—1181no—
2198C2×C4—1181no—
2199C2×C4—1181no—
2200C2×C4—1181no—
2201C2×C4—1181no—
2202C2×C4—1181no—
2203C2×C4—1181no—
2204C2×C4—1181no—
2205C2×C4—2364no—
2206C2×C4—2364no—
2207C2×C4—2364no—
2208C2×C4—2364no—
2209C2×C4—2364no—
2210C2×C4—2364no—
2211C2×C4—2364no—
2212C2×C4—2364no—
2213C2×C4—2364no—
2214C2×C4—2364no—
2215C2×C4—2364no—
2216C2×C4—2364no—
2217C2×C4—2364no—
2218C2×C4—2364no—
2219C2×C4C2×D4×D5912yes—
2220C2×C4C2×D4×D5912yes—
2221C2×C4C2×D4×D5912yes—
2222C2×C4C2×D4×D5912yes—
2223C2×C4C2×D4×D5912yes—
2224C22—22no—
2225C22—22no—
2226C22—22no—
2227C22—22no—
2228C22—22no—
2229C22—22no—
2230C22—22no—
2231C22—22no—
2232C22—22no—
2233C22—22no—
2234C22—22no—
2235C22—22no—
2236C22—22no—
2237C22—22no—
2238C22—22no—
2239C22—416no—
2240C22—41no—
2241C22—41no—
2242C22—41no—
2243C22—41no—
2244C22—41no—
2245C22—41no—
2246C22—41no—
2247C22—41no—
2248C22—41no—
2249C22—41no—
2250C22—41no—
2251C22—41no—
2252C22—41no—
2253C22—41no—
2254C22—41no—
2255C22—41no—
2256C22—41no—
2257C22—41no—
2258C22—41no—
2259C22—594no—
2260C22—594no—
2261C22—594no—
2262C22—594no—
2263C22—594no—
2264C22—594no—
2265C22—594no—
2266C22—594no—
2267C22—11832no—
2268C22—1182no—
2269C22—1182no—
2270C22—1182no—
2271C22—1182no—
2272C22—1182no—
2273C22—1182no—
2274C22—1182no—
2275C22—1182no—
2276C22—1182no—
2277C22—1182no—
2278C22—1182no—
2279C22—1182no—
2280C22—1182no—
2281C22—1182no—
2282C22—1182no—
2283C22—4728no—
2284C22—23616no—
2285C22—23616no—
2286C22—23616no—
2287C22—23616no—
2288C22—23616no—
2289C22—23616no—
2290C22—2361no—
2291C22—2361no—
2292C22—2361no—
2293C22—2361no—
2294C22—2361no—
2295C22—2361no—
2296C22—2361no—
2297C22—2361no—
2298C22—2361no—
2299C22—2361no—
2300C22—2361no—
2301C22—2361no—
2302C22—2361no—
2303C22—2361no—
2304C22—2361no—
2305C22—2361no—
2306C22—2361no—
2307C22—2361no—
2308C22—2361no—
2309C22#121×D5914yescomplemented
2310C22C22×D4×D5911yescharacteristic
2311C22C22×D4×D5911yescharacteristic
2312C22C22×D4×D5911yescharacteristic
2313C22C2×#41×D5911yescharacteristic
2314C22C2×#41×D5911yescharacteristic
2315C22H(5,𝔽2)×D5911yescharacteristic
2316C22H(5,𝔽2)×D5911yescharacteristic
2317C4—22no—
2318C4—22no—
2319C4—22no—
2320C4—22no—
2321C4—22no—
2322C4—41no—
2323C4—41no—
2324C4—41no—
2325C4—41no—
2326C4—41no—
2327C4—1182no—
2328C4—1182no—
2329C4—1182no—
2330C4—1182no—
2331C4—1182no—
2332C4—2361no—
2333C4—2361no—
2334C4—2361no—
2335C4—2361no—
2336C4—2361no—
2337C2—24no—
2338C2—42no—
2339C2—42no—
2340C2—42no—
2341C2—81no—
2342C2—598no—
2343C2—1184no—
2344C2—4721no—
2345C2—2362no—
2346C2—2362no—
2347C2—2362no—
2348C2C2×#121×D5911yescharacteristic
2349C2#525×D5911yescharacteristic
2350C2#538×D5911yescharacteristic
2351C2D42×D5911yescharacteristic
2352C2D42×D5911yescharacteristic
2353C2#546×D5911yescharacteristic
2354C2#546×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2424C2
hypercenter#2424D59
hypocenterC59C2×#2424
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2424

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#121×D59C2semidirect
2. C2×#121×D59C2semidirect
3. C2×#120×D59C2semidirect
4. C2×#120×D59C2semidirect
5. C2×C4×D4×D59C2semidirect
6. C22×C22⋊C4×D59C2semidirect
7. #21427639C2semidirect
8. #21427638C2semidirect
9. #21427637C2semidirect
10. #21427636C2semidirect
11. #21427635C2semidirect
12. #21427634C2semidirect
13. #21427633C2semidirect
14. #21427632C2semidirect
15. #21427631C2semidirect
16. #21427630C2semidirect
17. #21427629C2semidirect
18. #21427628C2semidirect
19. #21427627C2semidirect
20. #21427626C2semidirect
21. #21427625C2semidirect
22. #396×D59C2semidirect
23. #394×D59C2semidirect
24. #394×D59C2semidirect
25. #392×D59C2semidirect
26. #390×D59C2semidirect
27. #388×D59C2semidirect
28. #386×D59C2semidirect
29. #386×D59C2semidirect
30. #385×D59C2semidirect
31. C59×#2424C2semidirect
39. C22×D4×D59C22semidirect
42. C23×C4×D59C22semidirect
43. C2×#14273702C22semidirect
44. C2×#14273702C22semidirect
45. C2×#14273701C22semidirect
46. C2×#14273701C22semidirect
47. C2×#14273700C22semidirect
48. C2×#14273700C22semidirect
49. C2×#14273700C22semidirect
50. C2×#14273700C22semidirect
51. C2×#14273699C22semidirect
52. C2×#14273699C22semidirect
53. C2×#14273699C22semidirect
54. C2×#14273699C22semidirect
55. C2×#14273698C22semidirect
56. C2×#14273698C22semidirect
59. C2×#14273697C22semidirect
60. C2×#14273697C22semidirect
61. C2×#14273697C22semidirect
62. C2×#14273697C22semidirect
63. C2×#14273697C22semidirect
64. C2×#14273697C22semidirect
65. C2×#14273696C22semidirect
66. C2×#14273696C22semidirect
67. C2×#14273695C22semidirect
68. C2×#14273695C22semidirect
69. C2×#14273695C22semidirect
70. C2×#14273695C22semidirect
71. C2×#14273695C22semidirect
72. C2×#14273695C22semidirect
75. C2×C4×D236C22semidirect
76. C2×D4×Dic59C22semidirect
77. C2×#14273689C22semidirect
78. C2×C4×C22⋊D59C22semidirect
79. C2×C4×C22⋊D59C22semidirect
80. C2×(C22⋊D59)⋊C4C22semidirect
81. C2×(C22⋊D59)⋊C4C22semidirect
83. C2×C4⋊C4×D59C22semidirect
84. C2×C4⋊C4×D59C22semidirect
85. C2×C4⋊C4×D59C22semidirect
86. C2×C4⋊C4×D59C22semidirect
87. C22×C22⋊Dic59C22semidirect
88. C22×(C2×D59)⋊C4C22semidirect
89. C22×(C2×D59)⋊C4C22semidirect
101. C2×C22⋊C4×D59C22semidirect
102. C2×C22⋊C4×D59C22semidirect
103. C2×C22⋊C4×D59C22semidirect
104. C2×C22⋊C4×D59C22semidirect
105. C2×C22⋊C4×D59C22semidirect
106. C2×C22⋊C4×D59C22semidirect
107. C2×C22⋊C4×D59C22semidirect
108. C2×C22⋊C4×D59C22semidirect
109. C2×C22⋊C4×D59C22semidirect
110. C2×C42×D59C22semidirect
111. #16837326C22semidirect
112. #16837325C22semidirect
113. #16837325C22semidirect
114. #16837325C22semidirect
115. #16837324C22semidirect
116. #16837324C22semidirect
117. #16837324C22semidirect
118. #16837320C22semidirect
119. #16837320C22semidirect
120. #16837319C22semidirect
121. #16837319C22semidirect
122. #16837318C22semidirect
123. #16837318C22semidirect
124. #16837318C22semidirect
125. #16837318C22semidirect
126. #16837317C22semidirect
127. #16837317C22semidirect
128. #16837317C22semidirect
129. #16837317C22semidirect
130. #16837316C22semidirect
131. #16837316C22semidirect
132. #16837312C22semidirect
133. #16837311C22semidirect
134. #16837311C22semidirect
135. #16837311C22semidirect
136. #16837310C22semidirect
137. #16837310C22semidirect
138. #16837310C22semidirect
139. #16837305C22semidirect
140. #16837304C22semidirect
141. #16837303C22semidirect
142. #16837302C22semidirect
143. #16837302C22semidirect
144. #16837302C22semidirect
145. #16837302C22semidirect
146. #16837296C22semidirect
147. #16837295C22semidirect
148. #16837294C22semidirect
149. #16837293C22semidirect
150. #16837292C22semidirect
151. #16837291C22semidirect
152. #16837290C22semidirect
153. #16837282C22semidirect
154. #16837282C22semidirect
155. #16837281C22semidirect
156. #16837281C22semidirect
157. #16837280C22semidirect
158. #16837280C22semidirect
159. #16837280C22semidirect
160. #16837280C22semidirect
161. #16837279C22semidirect
162. #16837279C22semidirect
163. #16837278C22semidirect
164. #16837278C22semidirect
165. #16837278C22semidirect
166. #16837278C22semidirect
167. #16837277C22semidirect
168. #16837276C22semidirect
169. #16837276C22semidirect
170. #16837275C22semidirect
171. #16837274C22semidirect
172. #16837273C22semidirect
173. #16837273C22semidirect
174. #95×D59C22semidirect
175. #95×D59C22semidirect
176. #95×D59C22semidirect
177. #95×D59C22semidirect
178. C2×#121×C59C22semidirect
179. C2×#121×C59C22semidirect
180. C2×#120×C59C22semidirect
181. C2×#120×C59C22semidirect
182. C2×C4×D4×C59C22semidirect
183. C22×C22⋊C4×C59C22semidirect
184. C59×#396C22semidirect
185. C59×#394C22semidirect
186. C59×#394C22semidirect
187. C59×#392C22semidirect
188. C59×#390C22semidirect
189. C59×#388C22semidirect
190. C59×#386C22semidirect
191. C59×#386C22semidirect
192. C59×#385C22semidirect
214. C22×D236C23semidirect
227. C22×C22⋊D59C23semidirect
228. C22×C22⋊D59C23semidirect
249. C2×D4×D59D4semidirect
252. C23×Dic59C23semidirect
276. C22×C4×D59C23semidirect
277. C22×C4×D59C23semidirect
313. C2×C4⋊Dic59C23semidirect
314. C2×C4⋊Dic59C23semidirect
315. C2×C4⋊Dic59C23semidirect
316. C2×C4⋊Dic59C23semidirect
317. C2×Dic59⋊C4C23semidirect
318. C2×Dic59⋊C4C23semidirect
319. C2×Dic59⋊C4C23semidirect
320. C2×Dic59⋊C4C23semidirect
321. C2×Dic59⋊C4C23semidirect
322. C2×Dic59⋊C4C23semidirect
323. C2×Dic59⋊C4C23semidirect
324. C2×Dic59⋊C4C23semidirect
340. C2×C22⋊Dic59C23semidirect
341. C2×C22⋊Dic59C23semidirect
342. C2×C22⋊Dic59C23semidirect
343. C2×C22⋊Dic59C23semidirect
344. C2×C22⋊Dic59C23semidirect
367. C2×(C2×D59)⋊C4C23semidirect
368. C2×(C2×D59)⋊C4C23semidirect
369. C2×(C2×D59)⋊C4C23semidirect
370. C2×(C2×D59)⋊C4C23semidirect
371. C2×(C2×D59)⋊C4C23semidirect
372. C2×(C2×D59)⋊C4C23semidirect
373. C2×(C2×D59)⋊C4C23semidirect
374. C2×(C2×D59)⋊C4C23semidirect
375. C2×(C2×D59)⋊C4C23semidirect
376. C2×(C2×D59)⋊C4C23semidirect
394. C22⋊C4×D59D4semidirect
395. C22⋊C4×D59D4semidirect
396. C2×C4×Dic59C23semidirect
397. C2×C4×Dic59C23semidirect
398. C2×C4×Dic59C23semidirect
400. C59⋊#95C23semidirect
401. C59⋊#95C23semidirect
402. C59⋊#95C23semidirect
403. C59⋊#95C23semidirect
404. C59⋊#95C23semidirect
405. C59⋊#95C23semidirect
406. C59⋊#95C23semidirect
407. C59⋊#95C23semidirect
408. C59⋊#95C23semidirect
409. C59⋊#95C23semidirect
410. C59⋊#95C23semidirect
411. C59⋊#95C23semidirect
419. C22×D4×C59C23semidirect
422. C23×C4×C59C23semidirect
428. C2×C4⋊C4×C59C23semidirect
429. C2×C4⋊C4×C59C23semidirect
430. C2×C4⋊C4×C59C23semidirect
431. C2×C4⋊C4×C59C23semidirect
443. C2×C22⋊C4×C59C23semidirect
444. C2×C22⋊C4×C59C23semidirect
445. C2×C22⋊C4×C59C23semidirect
446. C2×C22⋊C4×C59C23semidirect
447. C2×C22⋊C4×C59C23semidirect
448. C2×C42×C59C23semidirect
449. #95×C59C23semidirect
450. #95×C59C23semidirect
451. #95×C59C23semidirect
452. #95×C59C23semidirect
554. C2×D4×C59C2×D4semidirect
614. C2×C22⋊D59C2×D4semidirect
615. C2×C22⋊D59C2×D4semidirect
662. C2×D236C2×D4semidirect
731. C22⋊C4×C59C2×D4semidirect
732. C22⋊C4×C59C2×D4semidirect
747. C22⋊Dic59C2×D4semidirect
748. C22⋊Dic59C2×D4semidirect
775. (C2×D59)⋊C4C2×D4semidirect
776. (C2×D59)⋊C4C2×D4semidirect
777. (C2×D59)⋊C4C2×D4semidirect
778. (C2×D59)⋊C4C2×D4semidirect
922. C22×D59#121semidirect
1082. C22×C59C2×#121semidirect
1133. C2×D59C2×#121semidirect
1181. #2424D59direct (N × H)
1208. D59#2424direct (N × H)
1236. C2×#121C2×D59semidirect
1237. C2×#121C2×D59semidirect
1254. C2×#120C2×D59semidirect
1255. C2×#120C2×D59semidirect
1264. C2×C4×D4C2×D59semidirect
1292. C22×C22⋊C4C2×D59semidirect
1301. #396C2×D59semidirect
1316. #394C2×D59semidirect
1317. #394C2×D59semidirect
1325. #392C2×D59semidirect
1333. #390C2×D59semidirect
1341. #388C2×D59semidirect
1356. #386C2×D59semidirect
1357. #386C2×D59semidirect
1365. #385C2×D59semidirect
1370. C59C2×#2424semidirect
1435. C22×D4C22×D59semidirect
1466. C23×C4C22×D59semidirect
1523. C2×C4⋊C4C22×D59semidirect
1524. C2×C4⋊C4C22×D59semidirect
1525. C2×C4⋊C4C22×D59semidirect
1526. C2×C4⋊C4C22×D59semidirect
1605. C2×C22⋊C4C22×D59semidirect
1606. C2×C22⋊C4C22×D59semidirect
1607. C2×C22⋊C4C22×D59semidirect
1608. C2×C22⋊C4C22×D59semidirect
1609. C2×C22⋊C4C22×D59semidirect
1614. C2×C42C22×D59semidirect
1627. #95C22×D59semidirect
1628. #95C22×D59semidirect
1629. #95C22×D59semidirect
1630. #95C22×D59semidirect
1802. C2×D4D4×D59semidirect
1966. C22⋊C4D4×D59semidirect
1967. C22⋊C4D4×D59semidirect
2309. C22#121×D59semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#121×D592
C2×#120×D592
C2×C4×D4×D592
C22×C22⋊C4×D592
#214276392
#214276382
#214276372
#214276362
#214276352
#214276342
#214276332
#214276322
#214276312
#214276302
#214276292
#214276282
#214276272
#214276262
#214276252
#396×D592
#394×D592
#392×D592
#390×D592
#388×D592
#386×D592
#385×D592
C59×#24242
C2×#242459